Display screen or portion thereof with complex case and disease management graphical user interface



FIG. 1 is a view of a display screen or portion thereof with complexcase and disease management graphical user interface of my new design;

FIG. 2A is a partial view of a display screen or portion thereof withcomplex case and disease management graphical user interface of my newdesign, the partial view of FIG. 2A showing an upper part of the design;

FIG. 2B is a partial view of the display screen or portion thereof withcomplex case and disease management graphical user interface of my newdesign, the partial view of FIG. 2B showing a middle part of the designthat borders the partial view of FIG. 2A at the bottom of the partialview of FIG. 2A;

FIG. 2C is a partial view of the display screen or portion thereof withcomplex case and disease management graphical user interface of my newdesign, the partial view of FIG. 2C showing a middle part of the designthat borders the partial view of FIG. 2B at the bottom of the partialview of FIG. 2B; and,

FIG. 2D is a partial view of the display screen or portion thereof withcomplex case and disease management graphical user interface of my newdesign, the partial view of FIG. 2D showing a lower part of the designthat borders the partial view of FIG. 2C at the bottom of the partialview of FIG. 2C.

The broken line made up of single-length dashes, showing a displayscreen in each view, forms no part of the claimed design. The brokenlines made up of alternating long and short dashes, showing bordersbetween the partial views, forms no part of the claimed design.

CLAIM I claim the ornamental design for a display screen or portionthereof with complex case and disease management graphical userinterface, as shown and described.